57. x+2y-z=5 3x + 2y + z 11 (x + 2y)2-Z2 = 15 58. x +y-z 10 2x-y+3z = 13 (x y) +

Question

57. x+2y-z=5 3x + 2y + z 11 (x + 2y)2-Z2 = 15 58. x +y-z 10 2x-y+3z = 13 (x y) + 22 122 59. xyz 60. x2 + y2 + z2-133 MODELING Solve each problem using a system of two equations in two un- 61. Big Screen The screen on a 42-inch LCD TV has an aspect vns ratio of 15 to 9. Find the length and width of the screen to the nearest tenth of an inch. 62. Litnle Screen The screen on a 4G iPod has an aspect ratio of 5 to 4. The diagonal measure of the screen is 51.83 millimeters. Find the length and width of the screen to the nearest tenth of a millimeter. 63. Unknown Numbers Find two numbers whose sum is 6 and whose product is-16. 64. More Unknown Numbers Find two numbers whose sum is-8 and whose product is-20. 65. Legs of a Right Triangle Find the lengths of the legs of a righ triangle whose hypotenuse is 15 m and whose area is 54 m2. 66. Sides of a Rectangle What are the length and width of a red angle that has a perimeter of 98 cm and a diagonal of 35 cm Ly lanaths of the sides of a triangl

Explanation / Answer

let length = l

width = w

l + w = 42

l / w = 15/ 9

9l = 15w

l = 15w / 9

l = 5w / 3

5w / 3 + w = 42

8w / 3 = 42

w = 15.75

l = 26.25

  

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